All categories

3 years ago

HELP ASAP!!! WILL MARK BRAINLIEST

Mathematics

1 answer:

Nitella [24]3 years ago

5 0

Answer:

50x⁴ - 20x² + 1 = 0

1. Quadratic form

50(x²)² - 20x² + 1 = 0

2. U is

x² = u

3. U- substitution

50u² - 20u + 1 = 0

4. Find the discriminant and identify roots

d = (-20)² - 4*1*50 = 200
u = (20 ± √200)/100
u = (2 ± √2)/10

Solve for x

x² = (2 ± √2)/10
x = ± √((2 ± √2)/10), four roots

You might be interested in

There are six glass bottles and eight plastic bottles on a rack. If one is chosen at random, what is the probability of picking

ruslelena [56]

The probability of you picking a glass bottle is 3/7

4 0

3 years ago

Read 2 more answers

Plssssssss help solve

Lana71 [14]

Answer:

cosine = adjacent/hypotenuse

cos A = 20/29 (choice: yellow)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

A sandbox is 2.5 m wide and 3.4 m long . approximately how much sand will it take to fill it 0.3 m deep?

deff fn [24]

I think that the answer should be around 2.55

6 0

3 years ago

Find the volume of the cylinder. Either enter an exact answer in terms of π or use 3.14 for π

Alex787 [66]

Answer:

Volume of the cylinder = $62.80 units^3$

Step-by-step explanation:

Height of the Cylinder(h)=5 units

Radius(r)=2 units

Volume of a cylinder= $\pi *r*r*h$

Putting the values in the formula;

Volume of the cylinder $=\pi *2*2*5$

As, $\pi =\frac{22}{7}=3.14$

Volume of the cylinder= $3.14*2*2*5$

$=3.14*2*2*5\\\\=3.14*4*5\\\\=3.14*20\\\\=62.80units^3$

The Volume of the cylinder is $62.80 units^3$

7 0

3 years ago

Write the cubic polynomial function f(x)in expanded form with zeros −6,−5,and −1, given that f(0)=60

RSB [31]

Answer:

$f(x)=2x^{3}+24x^{2}+82x+60$

Step-by-step explanation:

we know that

The roots of the polynomial are the values of x when the value of the polynomial f(x) is equal to zero

The roots of the polynomial function are

x=-6 -----> (x+6)=0

x=-5 -----> (x+5)=0

x=-1 -----> (x+1)=0

The equation of the cubic polynomial is

$f(x)=a(x+6)(x+5)(x+1)$

where

a is the leading coefficient

Remember that

f(0)=60

That means ------> For x=0 the value of f(x) is equal to 60

substitute the value of x and the value of y in the function and solve for a

$60=a(0+6)(0+5)(0+1)$

$60=a(6)(5)(1)$

$60=30a$

$a=2$

$f(x)=2(x+6)(x+5)(x+1)$

Applying the distributive property

Convert to expanded form

$f(x)=2(x+6)(x+5)(x+1)\\\\f(x)=2(x+6)(x^{2}+x+5x+5)\\\\f(x)=2(x+6)(x^{2}+6x+5)\\\\f(x)=2(x^{3}+6x^{2}+5x+6x^{2}+36x+30)\\\\f(x)=2x^{3}+24x^{2}+82x+60$

3 0

4 years ago